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Finding the Fourth Proportional to 5,696.51, 8,544.54 and 1,747.61

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Solution

The fourth proportional to 5,696.51, 8,544.54 and 1,747.61 is: 2,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.51 : 8,544.54 = 1,747.61 : x
  2. Step 2: Convert to fraction form
    5,696.51/8,544.54 = 1,747.61/x
  3. Step 3: Cross multiply
    5,696.51x = 8,544.54 × 1,747.61
  4. Step 4: Simplify right side
    5,696.51x = 14,932,523.55
  5. Step 5: Solve for x
    x = 14,932,523.55/5,696.51
  6. Step 6: Final answer
    x = 2,621.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.